@article{10272/25356, year = {2021}, month = {2}, url = {https://hdl.handle.net/10272/25356}, abstract = {We consider analytic perturbations of quadratic homogeneous differential systems having an isolated singularity at the origin. We char- acterize the systems with an analytic first integral at the origin. We apply the results to two families of degenerate vector fields.}, organization = {The authors are partially supported by a MINECO/FEDER grant number MTM2014-56272-C2-2 and by the Consejer´ıa de Educación y Ciencia de la Junta de Andalucía (projects P12-FQM-1658, FQM-276}, publisher = {Springer}, keywords = {Ecuaciones diferenciales}, title = {Analytical Integrability of Perturbations of Quadratic Systems}, doi = {10.1007/s00009-020-01647-8}, author = {Algaba Durán, Antonio and García García, Cristóbal, Matemático and Reyes Columé, Manuel}, }